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Simplification - Facts and Formula

  1. "BODMAS" Rule: This rule depicts the correct sequence in which the operations are to be executed,so as to find out the value of a given expression.

    Here, 'B' stands for 'bracket' ,'O'for 'of' , 'D' for' division' and 'M' for 'multiplication', 'A' for 'addition' and 'S' for 'subtraction'.

    Thus, in simplifying an expression, first of all the brackets must be removed, strictly in the order(), {} and [].

    After removing the brackets, we must use the following operations strictly in the order:

    • of
    • division
    • multiplication
    • addition
    • subtraction.
  2. Modulus of a real number : Modulus of a real number a is defined as

    |a| ={a, if a>0

    -a, if a < 0

    Thus, |7|=7 and |-7|=-(-7)=7.

  3. Virnaculum (or bar): When an expression contains Virnaculum, before applying the 'BODMAS' rule, we simplify the expression under the Virnaculum.